Answer:
ITS DEFINITELY AStep-by-step explanation:
4. Sarah moved 530,000 of her savings to a new investment account that earns 4% interest compounded quarterty. Write a function to model this situation, then find the amount of interest the account will earn after 12 years.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$530000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years \end{cases} \\\\\\ A=530000\left(1+\frac{0.04}{4}\right)^{4\cdot t}\implies A=530000(1.01)^{4t} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{after 12 years}}{t=12}\implies A=530000(1.01)^{4(12)}\implies A=530000(1.01)^{48} \\\\\\ A\approx 854479.82~\hfill \underset{\textit{interest in the account}}{\stackrel{854479.82~~ - ~~530000}{\approx 324479.82}}[/tex]
Shortly after their arrival, Europeans began introducing pigs to the Americas as a source of food. Some escaped, and others were intentionally released into the wild,
where they thrived. Assume that the wild pig population is modeled by the
formula P = P0•(1.2)^t .If there were five million wild pigs in 2010 (no one really knows the exact number), what was the population of wild pigs in 2000?
Answer: About 800 thousand
The more accurate value is 807,528 but this is also an approximation.
=======================================================
Work Shown:
[tex]t = \text{number of years since the year 2000}[/tex]
[tex]P_0 = \text{population (in millions) in the year 2000}[/tex]
[tex]P = P_0(1.2)^t\\\\5 = P_0(1.2)^{10}\\\\5 \approx P_0*6.1917364224\\\\P_0 \approx \frac{5}{6.1917364224}\\\\P_0 \approx 0.80752791444922\\\\P_0 \approx 0.807528\\\\[/tex]
That's the rough population of wild pigs (in millions) for the year 2000.
Multiply by [tex]10^6[/tex] to get it in terms of units instead.
[tex]0.807528\times10^6 = 807,528[/tex]
There were roughly 800 thousand wild pigs in the year 2000.
Rodney says that he can draw two rectangles that have the same areas but different perimeters.
Which of the following pairs of rectangles could Rodney draw?
Select all that apply.
LIVE
A rectangle with side lengths 4 cm and 6 cm and a rectangle with side lengths 2 cm and 12 cm
LIVE
A rectangle with side lengths 4 cm and 6 cm and a rectangle with side lengths 2 cm and 8 cm
LIVE
A rectangle with side lengths 3 cm and 6 cm and a rectangle with side lengths 2 cm and 9 cm
LIVE
A rectangle with side lengths 5 cm and 6 cm and a rectangle with side lengths 2 cm and 9 cm
LIVE
A rectangle with side lengths 5 cm and 4 cm and a rectangle with side lengths 2 cm and 7 cm
Answer:
A rectangle with sides lengths 4cm and 6cm and a rectangle with side lengths 2cm and 12 cm...
My neighbor does not understand how to find the length and area of his backyard because it is an unusual shape. In 2-3 sentences explain how you would help him solve his problem. Remember to use Math Vocabulary in your explanation.
He can find the area of the individual shapes the backyard is made up of, then take the sum.
Area of composite figureA composite figure is made up of different shapes and hence their area might be difficult to determine.
In order to determine the area of such a complex shape, the area of the individual shapes is first determined and then sum up. The sum of their areas will give the area of the composite figure
For your neighbour, he can find the area of the individual shapes the backyard is made up of, then take the sum.
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please help me in this mathematics questionplease help me in this mathematics questionplease help me in this mathematics question
The twenty units of potatoes illustrates the measure of central tendency and probability
The modal weight, mean, and medianStart by sorting the dataset:
0.19; 0.28; 0.55;
0.62; 0.68; 0.77;
0.88; 0.89; 0.98;
0.99; 1.11; 1.22;
1.22; 1.22; 1.33;
1.44; 1.48; 1.68;
1.77; 1.99
The highest occuring element is 1.22 with a frequency of 3
The two middle elements are 0.99 and 1.11.
The mean of these two middle elements is: 0.5 * (0.99 + 1.11) = 1.05
The mean of the whole dataset is:
Mean = (0.19+ 0.28+ 0.55+ 0.62+ 0.68+ 0.77+ 0.88+ 0.89+ 0.98+ 0.99+ 1.11+ 1.22+1.22+ 1.22+ 1.33+ 1.44+ 1.48+ 1.68+1.77+1.99)/20
Mean = 1.06
Hence, the modal weight is 1.22, the mean is 1.06, and the median is 1.05
The probabilities(a) at least 1.1 kg
There are 10 potatoes that weigh at least 1.1 kg.
So, the probability is:
P = 10/20
P = 0.5
(b) more than 3.5kg
There are 0 potatoes that weigh more than 3.5 kg.
So, the probability is:
P = 0/20
P = 0
(c) below 0.50kg
There are 2 potatoes that weigh below 0.50 kg.
So, the probability is:
P = 2/20
P = 0.1
The Variance of the weight.
This is calculated as:
Var = [tex]\sum[/tex](x - mean)^2/n
This gives
Var = [(0.19 - 1.06)^2 + (0.28 - 1.06)^2 + (0.55 - 1.06)^2 + (0.62 - 1.06)^2 + (0.68 - 1.06)^2 + (0.77 - 1.06)^2 + (0.88 - 1.06)^2 + (0.89 - 1.06)^2 + (0.98 - 1.06)^2 + (0.99 - 1.06)^2 + (1.11 - 1.06)^2 + (1.22 - 1.06)^2 + (1.22 - 1.06)^2 + (1.22 - 1.06)^2 + (1.33 - 1.06)^2 + (1.44 - 1.06)^2 + (1.48 - 1.06)^2 + (1.68 - 1.06)^2 + (1.77 - 1.06)^2 + (1.99 - 1.06)^2]/20
Evaluate
Var = 0.22
This means that:
The expectation of the squared deviation of the random variable from the mean is 0.22 kg
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Answer:
0.22 kg
Step-by-step explanation:
How to sketch this graph?
Answer:
get a book from shop and draw with ruler and write the numbers too
A computer loses half of its value every two year. If the computer costs $75 after 6 years, how much
did the computer cost initially?
Answer:
$600
Step-by-step explanation:
This can be modeled as an exponential equation.
General form of an exponential function: [tex]y=ab^x[/tex]
where:
a is the initial valueb is the growth factorx is the independent variabley is the dependent variableTherefore:
a = initial cost of computerb = 0.5 (since the computer loses half its value)x = t/2 where t is the number of years ⇒ 3y = $75[tex]\implies 75=a(0.5)^3[/tex]
[tex]\implies 75=0.125a[/tex]
[tex]\implies a=\dfrac{75}{0.125}[/tex]
[tex]\implies a=600[/tex]
Therefore, the computer initially cost $600.
The perimeters of two similar right triangles have a ratio of 3 to 5. If the height of the larger triangle is 12 meters, what is the height of the
smaller triangle?
Answer:
7.2 meters
Step-by-step explanation:
Similar triangles have linear dimensions that are proportional. The ratio of heights will be the same as the ratio of permeters:
h/(12 m) = 3/5 . . . . . . . small/large
h = (3/5)(12 m) = 7.2 m . . . . . . multiply by 12 m
The height of the smaller triangle is 7.2 meters.
Tom has 2 feet of wire. He uses of the wire to hang a picture. How much wire did he use to hang the picture?
A. 2 4/7 feet
B. 1 9/10
C. 1 7/10
D. 1 1/2
Answer:
D. 1 1/2 feet
Step-by-step explanation:
Multiply the numbers to find the length of wire used.
2 1/2 × 3/5 = 5/2 × 3/5 = 3/2 = 1 1/2 feetCorrect choice is D
6) The frequency table represents lunch choices for 22 middle school students. Each student may only make one choice. What frequency count should be recorded for the soup category?
-------
A) 2
B) 4
C) 6
D) 8
The frequency count that should be recorded for the soup category is 6.
What does subraction mean?
Subtraction is the process of taking one number away from another number. The sign used to represent subtraction is -.
What is the frequency count for the soup category?The frequency count on the table should be equal to the number of students. Thus, in order to determine the frequency count for the soup category, subtract 22 from the total frequency count.
The frequency count for the soup category = 22 - (5 + 8 + 2 + 1 ) = 6
To learn more about subtraction, please check: https://brainly.com/question/915789
In the data set below, what are the lower quartile, the median, and the upper quartile?
The median, upper and lower quartiles of the data set are:
Lower Quartile = 46
Median = 49
Upper Quartile = 90
What is the Median?The center value or middle value of a data set is the median.
What are the Upper and Lower Quartiles?Upper quartile (Q3) is the center or middle data point of the second half of a data set.
Upper quartile (Q3) is the center or middle data point of the second half of a data set.
Order the data set given as:
32, 46, 49, 49, 77, 90, 96
Lower Quartile = 32, (46), 49, 49, 77, 90, 96 = 46
Median = 32, 46, 49, (49,) 77, 90, 96 = 49
Upper Quartile = 32, 46, 49, 49, 77, (90,) 96 = 90
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how many mL of normal saline should be added to 50mL of hydrogen peroxide to create a solution that is 5/8 strength?
help to search for JOIN in this alphabet soup please
Answer:
hopefully this helps :] 16th line down I think
What is the surface area of this right prism?
600 in²
720 in²
840 in²
1440 in²
Right triangular prism. The height of the prism is labeled 12 in. The base of the prism is an isosceles triangle with legs labeled 13 in., 13 in., and 24 in. The height of the triangle is perpendicular to the side labeled 24 in. and is labeled 5 in.
The surface area of the right prism with an isosceles triangle base is 720 inches squared.
Surface area of a triangular prismsurface area = bh + l(x + y + z)
where
b = base of triangle.h = height of triangle.l = height of the prism.x, y and z are the side of the triangle.Therefore,
b = 24 inches
h = 5 inches
x = 13 inches
y = 13 inches
z = 24 inches
l = 12 inches
Surface area = 24 × 5 + 12(13 + 13 + 24)
Surface area = 120 + 12(50)
Surface area = 120 + 600
Surface area = 720 inches²
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Which of the following is the estimated amount of salt that will dissolve at 47 degrees?
30.74
142.06
24.72
35.08
Ths solubility curve can be used to obtain the amount of salt dissolved (solubility).
What is the solubility curve?The solubility curve is a plot of the solubility of a substance against the temperature. It serves the purpose of being used to show the solubility of a susbtance at different temperatures. This question is incomplete hence we can not be able to deduce the solubility of the salt at this temperature.
If the solubility curve has been ploted, then we can be able to estimate the solubility of the salt from the graph.
Learn more about solubility curve: https://brainly.com/question/9537462
A bank pays $15 in interest for every $100 deposited.
The bank pays how much interest?
Answer:
15% interest
Step-by-step explanation:
because it's 15 out of 100 so that would be 15%
Identify the indicated angles as Adjacent, vertical, linear, or complimentary
1. Determine the lateral and total surface area
of the square pyramid.
12 cm
12.8 cm
qom
Lateral Surface Area
Total Surface Area
The areas of the square pyramid are the amount of space on it
The lateral surface area is 307.2 square cmThe total surface area is 451.2 square cmHow to determine the lateral surface area?The given parameters are:
Base (b) = 12 cm
Slant height (l) = 12.8 cm
The lateral surface area is calculated using:
L = 2bl
So, we have:
L = 2 * 12 * 12.8
Evaluate the product
L = 307.2
How to determine the total surface area?This is calculated using:
T = L + b^2
So, we have:
T = 307.2 + 12^2
Evaluate
T = 451.2
Hence, the total surface area is 451.2 square cm
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PLEASE ANSWER QUICKLY AS POSSIBLE WILL GIVE BRAINLYEST TO FIRST CORRECT
Find the exact value of x.
x=
Question 2
Do the side lengths form a Pythagorean triple?
Answer:
Soln:
Step-by-step explanation:
Here,
Base(b) =9
Opposite/Perpendicular (p)= x
Hypotenus (h) = 24
We know,
(p)^2 = (h)^2 - (b)^2
(x)^2 = (24)^2 - (9)^2
x^2 = 576 - 81
x^2 = 495
x = root under 495
Answer:
1- 22.2486 2- No
Step-by-step explanation:
1:
[tex]b = \sqrt{ c^{2}- a^{2}[/tex]
C is the hypotenuse, or longest side of the triangle (24).
A is the one length we have besides the hypotenuse(9).
[tex]b = \sqrt{ 24^{2}- 9^{2}[/tex]
b = 22.2486
2:
No, because if it was a Pythagorean triple, it would follow the equation [tex]a^{2} +b^{2} =c^{2}[/tex].
[tex]9^{2} + 22.2485^{2} \neq 24^{2}[/tex].
need help really please someone
Answer:
2 5/7
Step-by-step explanation:
First we need to make the 4 2/7 top heavy so it is easier to subtract :)
4 2/7 = 3 9/7
Now we can subtract :)
3 9/7 - 1 4/7 = 2 5/7
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
The answer is 2 5/7
Step-by-step explanation:
Which net represents this solid figure?
Answer: TThere is no picture
Step-by-step explanation:
Find the future value of an ordinary annuity of sh.25,000 at a compunding rate of 7% p.a. after 9 years?
Answer:
sh.299,449.72
Step-by-step explanation:
The future value of an ordinary annuity with annual payments P earning interest rate r compounded annually for t years is ...
FV = P((1+r)^t -1)/r
For the given numbers, the future value is ...
FV = sh.25000(1.07^9 -1)/0.07 ≈ sh.299,449.72
I NEED HELP ASAP PLEASE LOOK AT THE PICTURE ATTACHED
Answer:
The distance is 20 units
Step-by-step explanation:
it takes 1 1/2 hours to fill 1/2 of a tank how long will it take to fill 2 tanks completely
Answer:
15
Step-by-step explanation:
hope this helps
what’s the answer????
Answer:
3.6 m/h
Step-by-step explanation:
Distance (d) = 9 Km
Time (t) = 2.5 hour
Speed ( s )
Speed = Distance / Time
s = d / t
s = 9 / 2.5
s = 90 / 25
s = 18 / 5
s = 3.6 Km/h
Will give Brainly!!
5 Questions
Financial Mathematics
Questions Attached
i have attached the question for you
Answer:
s = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
s = ut + [tex]\frac{1}{2}[/tex] at² ( substitute the given values into the equation )
s = ( 3 × [tex]\frac{1}{3}[/tex] ) + ( [tex]\frac{1}{2}[/tex] × - 12 × ([tex]\frac{1}{3}[/tex] )² )
= 1 + (- 6 × [tex]\frac{1}{9}[/tex] )
= 1 + ( - [tex]\frac{2}{3}[/tex] )
= 1 - [tex]\frac{2}{3}[/tex]
= [tex]\frac{1}{3}[/tex]
Answer:
[tex] \hookrightarrow \: u = 3 || \: a = - 12 \: || t = \frac{1}{3} \\ \hookrightarrow \: s = ut + \frac{1}{2} a {t}^{2} \\ \hookrightarrow \: s =3 \times \frac{1}{3} + \frac{1}{2} \times - 12 \times (\frac{1}{3} )^{2} \\ \hookrightarrow \: s =1 - \frac{2}{3} \\ \hookrightarrow \: s = \frac{1}{3} [/tex]
please help with this problem!!
Answer:
12 cups
Step-by-step explanation:
The ratio he uses is
2 parts strong coffee
3 parts milk
Let's say he makes a recipe exactly like the amounts of the ratio.
2 cups strong coffee
3 cups milk
Total: 2 cups + 3 cups = 5 cups
He wants to make 30 cups, so 5 cups is not enough.
Let's double the amounts of the recipe keeping the same ratio of 2 to 3.
2 × 2 = 4 cups strong coffee
3 × 2 = 6 cups milk
Total: 4 cups + 6 cups = 10 cups
He wants to make 30 cups, so 10 cups is not enough.
We can keep on going up by multiplying the numbers in the ratio by larger numbers, but there is a quicker way.
We need to multiply both numbers in the ratio by a number, let's call it x, so that when both numbers in the ratio are multiplled by x, and the ingredients are added, we end up with 30 cups.
Multiply both numbers in the ratio by x.
2x cups of strong coffee
3x cups of milk
Now add: the total amount will be 5x cups
We want 30 cups, so
5x = 30
Solve for x.
x = 30/5 = 6
x, the multiplier we need is 6.
2x cups strong coffee = 2(6) cups = 12 cups
3x cups milk = 3(6) cups = 18 cups
Answer: 12 cups
Please solve the whole page
Answer:
1. 3/20
2. 76/4
3. 16
4. 1/8
5. 11/1
6. 2.5/1
7. 13/1
8. 255/1
9. 20, 140, 240
10. 3.5, 17.5, 31.5
11. 12
12. 2
can someone help me really please
Answer:
5/6
Step-by-step explanation:
since there already is a common denominator all you have to do is add the numerators